The extended boundary element method (XBEM) is employed to calculate the whole
displacement and stress fields of the plane V-notched/cracked structure in a bonded
bimaterial under different elastic modulus ratios. Firstly, the V-notched/cracked
structure is divided into two parts, which are a small region around the notch tip and
the outer region without the tip region. Then, the asymptotic series of the
singular stress fields in the notch tip region are embedded with the boundary
integral equation for the outer region without stress singularity. Numerical
examples show the accuracy and effectiveness of the XBEM for obtaining the
whole displacement and stress fields of the V-notched/cracked structure in
bonded bimaterials. It is demonstrated that the notch/crack tip region of the
V-notched/cracked structure in bonded bimaterials should choose reasonable
eigen-pairs.
Keywords
V-notch/crack, bimaterial, stress fields, extended boundary
element method, elastic modulus ratio